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Finding the Fourth Proportional to 47,872, 71,821.67 and 16,288.99

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Solution

The fourth proportional to 47,872, 71,821.67 and 16,288.99 is: 24,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872 : 71,821.67 = 16,288.99 : x
  2. Step 2: Convert to fraction form
    47,872/71,821.67 = 16,288.99/x
  3. Step 3: Cross multiply
    47,872x = 71,821.67 × 16,288.99
  4. Step 4: Simplify right side
    47,872x = 1,169,902,464.41
  5. Step 5: Solve for x
    x = 1,169,902,464.41/47,872
  6. Step 6: Final answer
    x = 24,438.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.